| A unified formulation of optimal guidance-to-collision law for accelerating and decelerating targets |
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| 作者姓名： | Young-Won KIM Boseok KIM Chang-Hun LEE Shaoming HE |
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| 作者单位： | 1. Department of Aerospace Engineering, Korea Advanced Institute of Science and Technology;2. School of Aerospace Engineering, Beijing Institute of Technology |
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| 摘 要： | This paper provides a unified formulation of optimal guidance-to-collision law for a target with an arbitrary acceleration or deceleration. The collision course for general target acceleration or deceleration is first determined from the engagement geometry in conjunction with the nonlinear engagement kinematics in the proposed approach. The heading error defined in the collision course is then adopted as a variable to be nullified for accomplishing the intercept condition.The proposed guidance ...
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| 收稿时间： | 27 February 2021 |
A unified formulation of optimal guidance-to-collision law for accelerating and decelerating targets |
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| Young-Won KIM,Boseok KIM,Chang-Hun LEE,Shaoming HE.A unified formulation of optimal guidance-to-collision law for accelerating and decelerating targets[J].Chinese Journal of Aeronautics,2022,35(7):40-54+3. |
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| Institution: | 1. Department of Aerospace Engineering, Korea Advanced Institute of Science and Technology, Daejeon 34141, Republic of Korea;2. School of Aerospace Engineering, Beijing Institute of Technology, Beijing 100081, China |
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| Abstract: | This paper provides a unified formulation of optimal guidance-to-collision law for a target with an arbitrary acceleration or deceleration. The collision course for general target acceleration or deceleration is first determined from the engagement geometry in conjunction with the nonlinear engagement kinematics in the proposed approach. The heading error defined in the collision course is then adopted as a variable to be nullified for accomplishing the intercept condition. The proposed guidance law is derived based on the heading error dynamics and the optimal error dynamics to ensure optimality and finite-time convergence. As illustrative examples, the proposed guidance command for a constant target acceleration and a target deceleration in the form of a quadratic function of speed are provided. Additionally, the time-to-go prediction method is suggested for implementing the proposed method. The characteristics of the proposed guidance command are analytically investigated to provide insight into the proposed method. The key benefits of the proposed method lie in not producing unnecessary guidance commands near a target compared to other methods and ensuring optimality in guidance command even in the nonlinear engagement kinematics. Finally, numerical simulations are performed to validate the proposed method and to show our findings. |
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| Keywords: | Guidance-to-collision law Optimal guidance Optimal error dynamics Target acceleration or deceleration Unified formulation |
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